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40131001430304 = 2531922001645521
BaseRepresentation
bin10010001111111101110100…
…00101011011000100100000
312021002111010111020012001120
421013332322011123010200
520230001242331232204
6221203532203332240
711311240424606661
oct1107767205330440
9167074114205046
1040131001430304
111187250a104654
1246017a7221080
13195144ca8a4b5
149ca4ca985368
15498d759456d9
hex247fba15b120

40131001430304 has 48 divisors (see below), whose sum is σ = 110888293430880. Its totient is φ = 12672947819520.

The previous prime is 40131001430297. The next prime is 40131001430363. The reversal of 40131001430304 is 40303410013104.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×401310014303042 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11000820937 + ... + 11000824584.

It is an arithmetic number, because the mean of its divisors is an integer number (2310172779810).

Almost surely, 240131001430304 is an apocalyptic number.

It is an amenable number.

40131001430304 is an abundant number, since it is smaller than the sum of its proper divisors (70757292000576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40131001430304 is a wasteful number, since it uses less digits than its factorization.

40131001430304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22001645553 (or 22001645545 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 40131001430304 its reverse (40303410013104), we get a palindrome (80434411443408).

The spelling of 40131001430304 in words is "forty trillion, one hundred thirty-one billion, one million, four hundred thirty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 22001645521 44003291042 66004936563 88006582084 132009873126 176013164168 264019746252 352026328336 418031264899 528039492504 704052656672 836062529798 1056078985008 1254093794697 1672125059596 2112157970016 2508187589394 3344250119192 5016375178788 6688500238384 10032750357576 13377000476768 20065500715152 40131001430304